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Finding the Fourth Proportional to 5,332.25, 8,001.26 and 2,596.25

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Solution

The fourth proportional to 5,332.25, 8,001.26 and 2,596.25 is: 3,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332.25 : 8,001.26 = 2,596.25 : x
  2. Step 2: Convert to fraction form
    5,332.25/8,001.26 = 2,596.25/x
  3. Step 3: Cross multiply
    5,332.25x = 8,001.26 × 2,596.25
  4. Step 4: Simplify right side
    5,332.25x = 20,773,271.28
  5. Step 5: Solve for x
    x = 20,773,271.28/5,332.25
  6. Step 6: Final answer
    x = 3,895.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.